Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Barefoot (1)
- Bayesian analysis (1)
- Big Data (1)
- Bootstrap simulation (1)
- Capture (1)
-
- Data reduction (1)
- Efficiency (1)
- Endurance running (1)
- Energy (1)
- Factor analysis (1)
- Feminist epistemology (1)
- Green's theorem (1)
- Impervious (1)
- Injury (1)
- Love (1)
- Math (1)
- Mathematics (1)
- Minimalist (1)
- Motherhood (1)
- ODE reading project (1)
- Objectivity (1)
- Optimal control (1)
- PCA (1)
- Political science (1)
- Presidential election forecast (1)
- Principal components regression (1)
- Probability to win the White House. (1)
- Renewables (1)
- Running shoe (1)
- Runoff (1)
- Publication
- Publication Type
Articles 1 - 8 of 8
Full-Text Articles in Physical Sciences and Mathematics
Find, Process, And Share: An Optimal Control In The Vidale-Wolfe Marketing Model, Michael C. Barg
Find, Process, And Share: An Optimal Control In The Vidale-Wolfe Marketing Model, Michael C. Barg
CODEE Journal
The Vidale-Wolfe marketing model is a first-order, linear, non-homogeneous ordinary differential equation (ODE) where the forcing term is proportional to advertising expenditure. With an initial response in sales as the initial condition, the solution of the initial value problem is straightforward for a first undergraduate ODE course. The model serves as an excellent example of many relevant topics for those students whose interests lie in economics, finance, or marketing. Its inclusion in the curriculum is particularly rewarding at an institution without a physics program. The model is not new, but it was novel to us when a group of students …
The Principal Problem With Principal Components Regression, Heidi Margaret Artigue, Heidi Margaret Artigue
The Principal Problem With Principal Components Regression, Heidi Margaret Artigue, Heidi Margaret Artigue
Pomona Faculty Publications and Research
Principal components regression (PCR) reduces a large number of explanatory variables down to a small number of principal components. PCR is thought to be more useful, the more numerous the potential explanatory variables. The reality is that a large number of candidate explanatory variables does not make PCR more valuable; instead, it magnifies the failings of PCR.
The Situatedness Of Mathematics In Motherhood And Academia, Jennifer Schenk Sacco, Jill Shahverdian
The Situatedness Of Mathematics In Motherhood And Academia, Jennifer Schenk Sacco, Jill Shahverdian
Journal of Humanistic Mathematics
The authors, a mathematician and a political scientist, examine mathematics, motherhood, and academia, and argue that feminist epistemology is necessary to explain the intersection. Relying on the principles of feminist epistemology laid out by philosophers Naomi Scheman and Marianne Janack, the authors consider how work, the concept of time, teaching, arts and crafts, and decision-making all reveal the situatedness of knowing and using mathematics.
To Fall In Love With Math, Do This, Susan D'Agostino
To Fall In Love With Math, Do This, Susan D'Agostino
Journal of Humanistic Mathematics
In the viral New York Times essay, “To Fall in Love with Anyone, Do This,” Mandy Len Catron details an experience she and an acquaintance had as they shared responses to psychologist Arthur Aron’s thirty-six questions intended to make participants fall in love. She notes that, “we all have a narrative of ourselves that we offer up to strangers and acquaintances, but Dr. Aron’s questions make it impossible to rely on that narrative.” In this paper, we claim that we also have narratives of our relationship to mathematics that we offer up to ourselves and others. Following, we offer a …
Predicting The Next Us President By Simulating The Electoral College, Boyan Kostadinov
Predicting The Next Us President By Simulating The Electoral College, Boyan Kostadinov
Journal of Humanistic Mathematics
We develop a simulation model for predicting the outcome of the US Presidential election based on simulating the distribution of the Electoral College. The simulation model has two parts: (a) estimating the probabilities for a given candidate to win each state and DC, based on state polls, and (b) estimating the probability that a given candidate will win at least 270 electoral votes, and thus win the White House. All simulations are coded using the high-level, open-source programming language R. One of the goals of this paper is to promote computational thinking in any STEM field by illustrating how probabilistic …
Can A Comprehensive Transition Plan To Barefoot Running Be The Solution To The Injury Epidemic In American Endurance Runners?, Michael A. Scarlett
Can A Comprehensive Transition Plan To Barefoot Running Be The Solution To The Injury Epidemic In American Endurance Runners?, Michael A. Scarlett
CMC Senior Theses
Fossils belonging to the genus Homo, dating as far back as two million years ago, exhibit uniquely efficient features suggesting that early humans had evolved to become exceptional endurance runners. Although they did not have the cushion or stability-control features provided in our modern day running shoes, our early human ancestors experienced far less of the running-related injuries we experience today. The injury rate has been estimated as high as 90% annually for Americans training for a marathon and as high as 79% annually for all American endurance runners. There is an injury epidemic in conventionally shod populations that …
Stormwater Capture In The Built Watershed: Fostering Public Awareness Of Water Conservation Through A Parcel-Level Approach To Stormwater Management, Benjamin Rigby
Pitzer Senior Theses
As California contends with climate change and more extreme cycles of drought and deluge, water management agencies and conservation groups are looking towards solutions to the decreasing reliability of imported water supplies. Stormwater has historically been perceived as a threat to development but when captured properly, it presents a resource that can augment local water supplies. Solutions to water supply issues in California have traditionally employed technical and centrally controlled methods for importing water, but there is a growing understanding that parcel-level capture through vegetated swales presents an opportunity for reducing the impact that development has on California’s hydrology. Vegetated …
Sustainability-Efficiency Paradox: The Efficacy Of State Energy Plans In Building A More Sustainable Energy Future, Austin Zimmerman
Sustainability-Efficiency Paradox: The Efficacy Of State Energy Plans In Building A More Sustainable Energy Future, Austin Zimmerman
Pitzer Senior Theses
State energy plans are created at the request of a sitting governor or State Legislature in order to provide guidance set goals for the state’s energy sector. These plans will be critical indicators of energy trends such as the future market share of coal, natural gas, and renewables. If the future of energy in the United States is to be remotely sustainable, low-carbon policies must headline state plans. The strength of a state’s energy plan in terms of sustainability is directly related to that state’s willingness to prioritize and commit to incorporating energy sources that produce negligible carbon emissions. Questions …